Characterizing some rings of finite order
Rings and Algebras
2015-10-29 v1
Abstract
In this paper, we compute the number of distinct centralizers of some classes of finite rings. We then characterize all finite rings with distinct centralizers for any positive integer . Further we give some connections between the number of distinct centralizers of a finite ring and its commutativity degree.
Cite
@article{arxiv.1510.08207,
title = {Characterizing some rings of finite order},
author = {Jutirekha Dutta and Dhiren Kumar Basnet and Rajat Kanti Nath},
journal= {arXiv preprint arXiv:1510.08207},
year = {2015}
}